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<b>let </b><font color="Maroon" title="c1">AS</font> be   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">u</font>, <font color="Maroon" title="c3">z</font>, <font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</font>, <font color="Maroon" title="c6">w</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AS</font>;<br/>











<b>assume </b><a NAME="E1:16"/><i><font color="Green" title="E17">A1</font></i>: 
( <font color="Maroon" title="c2">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">z</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c2">u</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c3">z</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c2">u</font>,<font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c6">w</font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="16_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:16_1"/><i><font color="Green" title="E18">A2</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">y</font>
 ;<br/><a NAME="E2:16_1"/>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c5">y</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c4">x</font> )
 <b>by </b><i><a class="ref" href="aff_1.html#T16" target="_self" title="AFF_1:th.16">Th16</a></i>;<br/><a NAME="E3:16_1"/><b>then </b>
(  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c2">u</font>,<font color="Maroon" title="c5">y</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c2">u</font>,<font color="Maroon" title="c4">x</font> &amp;  <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c3">z</font>,<font color="Maroon" title="c2">u</font>,<font color="Maroon" title="c6">w</font> )
 <b>by </b><i><a class="txt" href="aff_1.html#E1:16"><i><font color="Green" title="E17">A1</font></i></a>, <a class="txt" href="aff_1.html#E1:16_1"><i><font color="Green" title="E18">A2</font></i></a>, <a class="ref" href="aff_1.html#T15" target="_self" title="AFF_1:th.15">Th15</a>, <a class="ref" href="aff_1.html#T17" target="_self" title="AFF_1:th.17">Th17</a></i>;<br/><b>hence </b><a NAME="E4:16_1"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c6">w</font>
 <b>by </b><i><a class="txt" href="aff_1.html#E1:16"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="aff_1.html#T17" target="_self" title="AFF_1:th.17">Th17</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:16"/>
 <a href="aff_1.html#R1" title="AFF_1:pred.1">LIN</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c6">w</font>
 <b>by </b><i><a class="ref" href="aff_1.html#T16" target="_self" title="AFF_1:th.16">Th16</a></i>;<br/>


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